Description
As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area. Select the amount of fencing you have, in feet, and address the following prompts: if you have 1200 feet of fencing.
- Draw several diagrams to express the situation and calculate the area for each configuration then estimate the dimension of largest possible field.
- Find the function that models the area in terms of one of its sides.
- Find the point that maximizes the function you found in above.
- Calculate the area of the field at the point you calculated and then compare your results with the estimates you made based on your diagram.
